42205131324353 has 2 divisors, whose sum is σ = 42205131324354. Its totient is φ = 42205131324352.

The previous prime is 42205131324337. The next prime is 42205131324359. The reversal of 42205131324353 is 35342313150224.

42205131324353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41313746090929 + 891385233424 = 6427577^2 + 944132^2 .

It is a cyclic number.

It is not a de Polignac number, because 42205131324353 - 2⁴ = 42205131324337 is a prime.

It is a super-2 number, since 2×42205131324353² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42205131324359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21102565662176 + 21102565662177.

It is an arithmetic number, because the mean of its divisors is an integer number (21102565662177).

Almost surely, 2^{42205131324353} is an apocalyptic number.

It is an amenable number.

42205131324353 is a deficient number, since it is larger than the sum of its proper divisors (1).

42205131324353 is an equidigital number, since it uses as much as digits as its factorization.

42205131324353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 42205131324353 its reverse (35342313150224), we get a palindrome (77547444474577).

The spelling of 42205131324353 in words is "forty-two trillion, two hundred five billion, one hundred thirty-one million, three hundred twenty-four thousand, three hundred fifty-three".